Discount Calculator

Sale price after one or two successive percentage discounts, with optional tax — computed as exact fractions, with every step shown.
Computed
The exact result and the full working are shown below.
Resultexact

96.00

120.00

You save:24.0020%

exact: 96

Step-by-step solution

  1. 1

    Identify the given values

    The price and each percentage become exact fractions — nothing is rounded.

    • P = 120
    • d₁ = 20%
  2. 2

    Turn the first discount into a factor

    A discount of 20% keeps the remaining part of the price, so the multiplier is the exact fraction below.

    1−20100=451 - \frac{20}{100} = \frac{4}{5}
  3. 3

    Apply the first discount

    Multiply the price by the factor; the running subtotal is 96.00.

    120⋅45=96120 \cdot \frac{4}{5} = 96
  4. 4

    Final price

    The final price is 96.00 (exact fraction shown above).

    96≈96.0096 \approx 96.00
  5. 5

    Amount saved

    The discounts save 24.00, which is 20% of the original price.

    120−96=24120 - 96 = 24
  6. 6

    Result

    Final price 96.00; you save 24.00 before tax.

    120→96120 \rightarrow 96

How discount calculations work

Successive discounts compound instead of adding: 20% followed by 10% off leaves 0.8 × 0.9 = 0.72 of the price — an effective discount of 28%, not 30%.

Tax, when given, is applied after the discounts to the already reduced price.

Every percentage becomes an exact fraction (20% → 4/5), so all intermediate values stay exact; only the displayed money amounts are rounded to two decimals.